Final answer:
To find the volume of the rectangular pyramid, we need to multiply the area of the base by the height and divide by 3. Let's assume the dimensions of the model and calculate the volume using the formula V = lwh/3. The model will hold approximately 133.33 cubic centimeters.
Step-by-step explanation:
To find the volume of the rectangular pyramid, we need to multiply the area of the base by the height and divide by 3. The dimensions of the model are not provided in the question, so we will use the dimensions given in example 32 as a reference. In example 32, the volume of a rectangular box is calculated using the formula V = lwh. Since a rectangular pyramid is similar to a rectangular box, we can use the same formula. So, to find the volume of the rectangular pyramid, we would calculate V = lwh/3.
Let's assume the length of the base of the model is 10 cm, the width is 5 cm, and the height is 8 cm. Plugging these values into the formula, we have V = 10 cm * 5 cm * 8 cm / 3. Simplifying this expression, we get V = 400 cm³ / 3. Therefore, the model will hold approximately 133.33 cubic centimeters.